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Finding the Third Proportional to 557,448.75 and 841,398.75

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Solution

The third proportional to 557,448.75 and 841,398.75 is: 1,269,985.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,448.75 : 841,398.75 = 841,398.75 : x
  2. Step 2: Convert to fraction form
    557,448.75/841,398.75 = 841,398.75/x
  3. Step 3: Cross multiply
    557,448.75x = 841,398.75 × 841,398.75
  4. Step 4: Simplify right side
    557,448.75x = 707,951,856,501.56
  5. Step 5: Solve for x
    x = 707,951,856,501.56/557,448.75
  6. Step 6: Final answer
    x = 1,269,985.55

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.